
How do you convert to ?
Answer
475.5k+ views
Hint: We have to remember that one revolution takes a complete circle. That is, one revolution takes an angle of or .
Formula used: .
Complete step-by-step answer:
We know that .
Here we are assigned units of angular velocity in the question.
implies that it takes to complete .
it takes to complete .
, which is our required relation.
Approximating , we can also write the relation as follows:
That is,
$$.
Additional information:
The time taken by an object to make a complete circular path is called a period. Completion of one revolution takes one period.
The units and are mostly used in physics and engineering.
They are especially used in mechanics in the calculation of the power transmitted by a shaft.
These are also used in expressing the average angular velocity of planets around their stars. For example, the angular velocity of earth is approximately equal to .
Formally used unit of angular velocity instead of is .
Note: The formal definition of radian per second is as follows:
1. “Is the change in orientation of an object, in radians, every second”.
2. While revolution per second is “the number of turns in one second”.
Formula used:
Complete step-by-step answer:
We know that
Here we are assigned units of angular velocity in the question.
Approximating
That is,
Additional information:
The time taken by an object to make a complete circular path is called a period. Completion of one revolution takes one period.
The units
They are especially used in mechanics in the calculation of the power transmitted by a shaft.
These are also used in expressing the average angular velocity of planets around their stars. For example, the angular velocity of earth is approximately equal to
Formally used unit of angular velocity instead of
Note: The formal definition of radian per second is as follows:
1. “Is the change in orientation of an object, in radians, every second”.
2. While revolution per second is “the number of turns in one second”.
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